Dmytruk V. Mathematical modeling of convective diffusion in a regular structure

In the thesis the scientific problem of mathematical modeling diffusion processes in two-phase bodies of regular structure is solved taking into account the periodical character of convective phenomena in one of the phases and exact analytical solutions of the corresponding contact initial boundary-value problem of convective diffusion allowing efficient software implementation are obtained. For this purpose the method based on the usage of integral transforms by the spatial variables separately in contact contiguous domains is developed. On the basis of obtained due to this method exact analytic solutions the software is designed for investigating the convection-diffusion processes in an environment.